Home
Class 9
MATHS
If p(x)= 2 x^ 3 + a x^ 2 − 7 x + b and ...

If p(x)=` 2 x^ 3 + a x^ 2 − 7 x + b ` and we want p(1)=3 and p(2)=19 what should be a and b?

Text Solution

Verified by Experts

p(x)= ` 2 x 3 + a x 2 ...
Promotional Banner

Topper's Solved these Questions

  • Parallel Lines

    V PUBLICATION|Exercise QUESTION BANK|49 Videos

  • PRISMS

    V PUBLICATION|Exercise QUESTIONBANK|65 Videos

Similar Questions

Explore conceptually related problems

If p(x)= 3 x^ 2 − a x + 1 and we want p(1) =2 what number should we take in the place of a?

Consider the polynomial P(x)=ax^3-x^2-bx-1 Will, P(x) have both (x+1) and (x-1) as factors for any numbers a and b? Justify.

In the polynomial p(x)= 2 x^ 3 − 3 x^ 2 − 11 x − 6 find p(3),p(-2) and p( 2 ). What is its peculiarity?

If P(x)= x^3- 6x^2 + 11x-1 then find: p(2)

If P(x)= x^3- 6x^2 + 11x-1 then find: p(3)

If P(x)= x^3- 6x^2 + 11x-1 then find: p(1)

Consider the polynomial p(x)=a x^3-x^2-b x-1 a) Find 'p ( 1 )' b) What is the relation between a and 'b' if 'x-1' is a factor of 'p(x) ?' c) What is the relation between a and b if 'x+1' is a factor of 'p(x) ?' d) Will 'p(x)' have both '(x+1)' and '(x-1)' as a factors for any number a and b? Justify.

If (x-1) is to be a factor of p(x) = a^2x^2-4ax + 4a-1 .What should be the value of ‘a’ ?

Consider p(x) = 4x^3-5x^2+10x+4 and A = [(1,2),(0,1)] . Find p(A)

Consider the polynomial p(x)=x^3+a x^2-x+b a) Find the relation bétween 'a' and 'b' if (x-1) is a factor of p(x) b) What is the relation between 'a' and 'b' if (x-2) is a factor of p(x) ? c) Find a and 'b' so that both (x-1) and (x-2) are factors of p(x).

V PUBLICATION-POLYNOMIALS-Question Bank
  1. Write each of the operations below as algebraic expressions, find out ...

    Text Solution

    |

  2. Find p(1) and p(10) in the following polynomials. i) p(x)= 2x+5 ii) ...

    Text Solution

    |

  3. Find p(0), p(1) and p(-1) in the following polynomials. i) p(x)= 3x+6 ...

    Text Solution

    |

  4. Find polynomial p(x) satisfying each set of conditions below. i) Firs...

    Text Solution

    |

  5. Write down the algebraic expression to find out each of the following....

    Text Solution

    |

  6. What is the algebraic expression denoting the hypotenuse of a right an...

    Text Solution

    |

  7. The area of a rectangle is 50 sq.cm. Write down the algebraic express...

    Text Solution

    |

  8. For p(x)= 2 x^ 2 − 3 x + 1 , find p(0),p(1),p(-1)

    Text Solution

    |

  9. If p(x)= 3 x^ 2 − a x + 1 and we want p(1) =2 what number should we ta...

    Text Solution

    |

  10. If p(x)= 2 x^ 3 + a x^ 2 − 7 x + b and we want p(1)=3 and p(2)=19 wha...

    Text Solution

    |

  11. A ball is thrown upwards with a speed of 40m/cm loses speed at the rat...

    Text Solution

    |

  12. In the polynomial p(x)= 2 x^ 3 − 3 x^ 2 − 11 x − 6 find p(3),p(-2) a...

    Text Solution

    |

  13. For p(x)= ax^3 + b x^2 + c x + d .If p(1)=p(-1) prove that a+c=0

    Text Solution

    |

  14. a)If p(x) =4x-4, find the numbers p(1) and p(2). b) Write a first degr...

    Text Solution

    |

  15. 100xx17=1700,isn't it? So, when 1700 is divided by 100 will get quotie...

    Text Solution

    |

  16. The expression given below, which of them are polynomials. i) x^ 3 + ...

    Text Solution

    |

  17. In the polynomial p(x)= 2 x^ 3 − 3 x^ 2 − 7 x + 3 , find p(-1),p(-2),p...

    Text Solution

    |

  18. In the polynomial p(x)= a x^ 3 + b x^ 2 + c x + d if p(2)=p(-2), prov...

    Text Solution

    |

  19. Write down two third degree equations such that p(1)=p(-1).

    Text Solution

    |

  20. Length of a rectangle is one less than two times its breadth. a) If l...

    Text Solution

    |